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lions [1.4K]
3 years ago
5

A parabola is represented by the equation y = x2 + 6x − 17. The x-intercepts of the parabola are____ and_____ . The y-intercept

of the parabola is______ . (If necessary, round your answers to the nearest hundredth.)
Mathematics
2 answers:
brilliants [131]3 years ago
7 0

Answer:

x-intercepts : (-3+\sqrt{26} ,0),(-3-\sqrt{26} ,0) ≈ (2.09,0), (-8.09,0)

y- intercepts : (0,-17)

Step-by-step explanation:

To find the x-intercept(s), substitute in  0 for y and solve for x.

thus

                         x^{2}  + 6x-17=0

Using quadratic formula for finding value of x.

                            x=\frac{-b}{2a} ± \frac{\sqrt{b^{2}-4ac} }{2a}

thus we get,

   x-intercepts :  (-3+\sqrt{26} ,0),(-3-\sqrt{26} ,0) ≈ (2.09,0), (-8.09,0)

Now for y-intercept(s), substitute in 0 for x and solve for y.

thus

                            y = x^{2}  + 6x-17

                           y = (0)^{2}  + 6(0)-17

                            y =-17

we get,

                  y- intercepts : (0,-17)

kramer3 years ago
4 0

Answer:

2.8, 8.8, and -17 respectively.

Step-by-step explanation:

We need to find roots of the equation.

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